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| For example, suppose I make a casual reference to the following set of pronouns: | | For example, suppose I make a casual reference to the following set of pronouns: |
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− | : <math>\{ ~ \text{I}, ~ \text{you}, ~ \text{he}, ~ \text{she}, ~ \text{we}, ~ \text{they} ~ \}.\!</math>
| + | {| align="center" cellspacing="8" width="90%" |
| + | | <math>\{ ~ \text{I}, ~ \text{you}, ~ \text{he}, ~ \text{she}, ~ \text{we}, ~ \text{they} ~ \}.\!</math> |
| + | |} |
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| Chances are that the reader will automatically shift to what I have called the ''sign convention'' to interpret this reference. Even without the instruction to expect a set of pronouns, it makes very little sense in this setting to think I am referring to a set of people, and so a charitable assumption about my intentions to make sense will lead to the intended interpretation. | | Chances are that the reader will automatically shift to what I have called the ''sign convention'' to interpret this reference. Even without the instruction to expect a set of pronouns, it makes very little sense in this setting to think I am referring to a set of people, and so a charitable assumption about my intentions to make sense will lead to the intended interpretation. |
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− | <pre>
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| However, suppose I make a similar reference to the following set of variables: | | However, suppose I make a similar reference to the following set of variables: |
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− | {x1, ... , xn}. | + | {| align="center" cellspacing="8" width="90%" |
| + | | <math>\{ x_1, \ldots, x_n \}.\!</math> |
| + | |} |
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− | Then it is more likely that the reader will take the suggested set of variable names as though they were the names of some fictional objects called "variables".
| + | In this case it is more likely that the reader will take the suggested set of variable names as though they were the names of some fictional objects called “variables”. |
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| + | <pre> |
| The rest of this section deals with the case of boolean variables, that are soon to be invoked in providing a functional interpretation of propositional calculus. | | The rest of this section deals with the case of boolean variables, that are soon to be invoked in providing a functional interpretation of propositional calculus. |
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